Answer:
Area of rectangle = 30 units
Step-by-step explanation:
vertices are (2,2),(-3,2),(2,8), and (-3,8)
Let find the distance between (2,2) and (2,8). because they have same x values. that would be our width
distance = [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_2)^2}[/tex]
D = [tex]\sqrt{(2-2)^2 + (8-2)^2}=\sqrt(6^2) = 6[/tex]
Width = 6
Now we find distance between (2,2) and (-3,2) because they have same y values, that would be our length
distance = [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_2)^2}[/tex]
D = [tex]\sqrt{(-3-2)^2 + (2-2)^2}=\sqrt(-5^2) = \sqrt(25)= 5[/tex]
length = 5
Area of rectangle = length * width = 5*6 = 30
